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Finding the Fourth Proportional to 310.72, 465.48 and 164.26

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Solution

The fourth proportional to 310.72, 465.48 and 164.26 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.72 : 465.48 = 164.26 : x
  2. Step 2: Convert to fraction form
    310.72/465.48 = 164.26/x
  3. Step 3: Cross multiply
    310.72x = 465.48 × 164.26
  4. Step 4: Simplify right side
    310.72x = 76,459.74
  5. Step 5: Solve for x
    x = 76,459.74/310.72
  6. Step 6: Final answer
    x = 246.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.